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Finding the Fourth Proportional to 265.37, 365.90 and 195.48

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Solution

The fourth proportional to 265.37, 365.90 and 195.48 is: 269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.37 : 365.90 = 195.48 : x
  2. Step 2: Convert to fraction form
    265.37/365.90 = 195.48/x
  3. Step 3: Cross multiply
    265.37x = 365.90 × 195.48
  4. Step 4: Simplify right side
    265.37x = 71,525.15
  5. Step 5: Solve for x
    x = 71,525.15/265.37
  6. Step 6: Final answer
    x = 269.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.